Let \( a, b \) and \( c \) be in geometric progression. If the roots of the equation \( a x^{2}+...

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Let \( a, b \) and \( c \) be in geometric progression. If the roots of the equation \( a x^{2}+2 b x+c=0 \) are \( \alpha \) and \( \beta \) while those of \( c x^{2}+2 b x+a=0 \) are \( \gamma \) and \( \delta \) then
(A) \( \alpha \neq \beta \neq \gamma \neq \delta \)
(B) \( \alpha \neq \beta \) and \( \gamma \neq \delta \)
(C) \( a \alpha=a \beta=c \gamma=c \delta \)
(D) \( \alpha=\beta ; \gamma \neq \delta \)
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